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    What is the sum of the squares of the numbers from 3 to 18?
    Question

    What is the sum of the squares of the numbers from 3 to 18?

    A.

    2102

    B.

    2104

    C.

    2103

    D.

    2101

    Correct option is B

    Formula Used:

    Sum of the squares of first n natural numbers =n(n+1)(2n+1)6\frac{n(n+1)(2n+1)}{6}

    Solution:

    Sum of square of first 18 numbers = 18(18+1)(36+1)6\frac{18(18+1)(36+1)}{6}= 2109

    Sum of square of first 2 numbers=2(2+1)(4+1)6\frac{2(2+1)(4+1)}{6} =5

    Sum of square from 3 to 18 = 2109 -5 =2104

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